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Finding the Fourth Proportional to 422,930.50, 583,675.02 and 241,638.54

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Solution

The fourth proportional to 422,930.50, 583,675.02 and 241,638.54 is: 333,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,930.50 : 583,675.02 = 241,638.54 : x
  2. Step 2: Convert to fraction form
    422,930.50/583,675.02 = 241,638.54/x
  3. Step 3: Cross multiply
    422,930.50x = 583,675.02 × 241,638.54
  4. Step 4: Simplify right side
    422,930.50x = 141,038,379,667.27
  5. Step 5: Solve for x
    x = 141,038,379,667.27/422,930.50
  6. Step 6: Final answer
    x = 333,478.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.